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243585225 = 34521319487
BaseRepresentation
bin11101000010011…
…01000011001001
3121222100102010000
432201031003021
5444324211400
640100513213
76015304002
oct1641150311
9558312100
10243585225
11115552204
12696ab809
133b607990
14244ca1a9
15165b8600
hexe84d0c9

243585225 has 120 divisors (see below), whose sum is σ = 512536640. Its totient is φ = 113374080.

The previous prime is 243585193. The next prime is 243585227. The reversal of 243585225 is 522585342.

It is a happy number.

It is not a de Polignac number, because 243585225 - 25 = 243585193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 243585225.

It is not an unprimeable number, because it can be changed into a prime (243585227) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 499932 + ... + 500418.

Almost surely, 2243585225 is an apocalyptic number.

243585225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

243585225 is an abundant number, since it is smaller than the sum of its proper divisors (268951415).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243585225 is a wasteful number, since it uses less digits than its factorization.

243585225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 527 counting only the distinct ones).

The product of its digits is 96000, while the sum is 36.

The square root of 243585225 is about 15607.2170805688. The cubic root of 243585225 is about 624.5256988191.

The spelling of 243585225 in words is "two hundred forty-three million, five hundred eighty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 19 25 27 39 45 57 65 75 81 95 117 135 171 195 225 247 285 325 351 405 475 487 513 585 675 741 855 975 1053 1235 1425 1461 1539 1755 2025 2223 2435 2565 2925 3705 4275 4383 5265 6175 6331 6669 7305 7695 8775 9253 11115 12175 12825 13149 18525 18993 20007 21915 26325 27759 31655 33345 36525 38475 39447 46265 55575 56979 65745 83277 94965 100035 109575 120289 138795 158275 166725 170937 197235 231325 249831 284895 328725 360867 416385 474825 500175 512811 601445 693975 749493 854685 986175 1082601 1249155 1424475 1804335 2081925 2564055 3007225 3247803 3747465 4273425 5413005 6245775 9021675 9743409 12820275 16239015 18737325 27065025 48717045 81195075 243585225